Respuesta :

As given by the question

There are given that the equation

[tex]\frac{1}{4}(px-16)=64[/tex]

Now,

multiply by 4 on both sides of the equation

So,

[tex]\begin{gathered} \frac{1}{4}(px-16)=64 \\ \frac{1}{4}(px-16)\times4=64\times4 \\ px-16=256 \end{gathered}[/tex]

Then,

Add 16 on both sides of the equation:

[tex]\begin{gathered} px-16=256 \\ px-16+16=256+16 \\ px=272 \\ x=\frac{272}{p} \end{gathered}[/tex]

Hence, the correct option is b.